Extensions 1→N→G→Q→1 with N=C₅⋊₂C₁₆ and Q=C₆

Direct product G=N×Q with N=C₅⋊₂C₁₆ and Q=C₆

		d	ρ	Label	ID
C₆×C₅⋊₂C₁₆		480		C6xC5:2C16	480,89

Semidirect products G=N:Q with N=C₅⋊₂C₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆⋊₁C₆ = C₃×C₅⋊D₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4	C5:2C16:1C6	480,104
C₅⋊₂C₁₆⋊₂C₆ = C₃×D₈.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4	C5:2C16:2C6	480,105
C₅⋊₂C₁₆⋊₃C₆ = C₃×C₅⋊SD₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4	C5:2C16:3C6	480,106
C₅⋊₂C₁₆⋊₄C₆ = C₃×C₈₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	2	C5:2C16:4C6	480,76
C₅⋊₂C₁₆⋊₅C₆ = C₃×C₂₀.₄C₈	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	2	C5:2C16:5C6	480,90
C₅⋊₂C₁₆⋊₆C₆ = D₅×C₄₈	φ: trivial image	240	2	C5:2C16:6C6	480,75

Non-split extensions G=N.Q with N=C₅⋊₂C₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆.₁C₆ = C₃×C₅⋊Q₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	480	4	C5:2C16.1C6	480,107
C₅⋊₂C₁₆.₂C₆ = C₃×C₅⋊C₃₂	φ: C₆/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	480	4	C5:2C16.2C6	480,5

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁